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• [3] Harry Merrill Gehman, On extending a continuous (1-1) correspondence of two plane continuous curves to a correspondence of their planes, Trans. Amer. Math. Soc. 28 (1926), no. 2, 252–265. MR 1501343, http://dx.doi.org/10.1090/S0002-9947-1926-1501343-X
• [4] Richard Arens, Topologies for homeomorphism groups, Amer. J. Math. 68 (1946), 593–610. MR 0019916 (8,479i)
• [5] Garrett Birkhoff, The topology of transformation-sets, Ann. of Math. (2) 35 (1934), no. 4, 861–875. MR 1503201, http://dx.doi.org/10.2307/1968499
• [6] J. Schreier and S. Ulam, Über topologische Abbildungen der euklidischen Sphären, Fund. Math. vol. 23 (1934) pp. 102-118.
• [7] J. W. Alexander, On the deformation of -cell, Proc. Nat. Acad. Sci. U. S. A. vol. 9 (1923) pp. 406-407.
• [8] J. H. Roberts, Concerning homeomorphisms of the plane into itself, Bull. Amer. Math. Soc. Abstract 44-9-402.

Bibliography

[1]

R. H. Fox, On topologies for function spaces, Bull. Amer. Math. Soc. vol. 51 (1945) pp. 429-432. MR 0012224 (6:278d)

[2]

M. Bebutoff, Sur les systémes dynamiques dans l'espace des fonctions continues, Akademia Nauk, Doklady vol. 27 (1940) pp. 904-906. MR 0003473 (2:225b)

[3]

H. M. Gehman, On extending a continuous (1-1) correspondence of two plane continuous curves to a correspondence of their planes, Trans. Amer. Math. Soc. vol. 28 (1926) pp. 252-265. MR 1501343

[4]

R. F. Arens, Topologies for homeomorphism groups, Amer. J. Math. vol. 68 (1946) pp. 593-610. MR 0019916 (8:479i)

[5]

G. Birkhoff, Topology of transformation sets, Ann. of Math. vol. 35 (1934) pp. 861-875. MR 1503201

[6]

J. Schreier and S. Ulam, Über topologische Abbildungen der euklidischen Sphären, Fund. Math. vol. 23 (1934) pp. 102-118.

[7]

J. W. Alexander, On the deformation of -cell, Proc. Nat. Acad. Sci. U. S. A. vol. 9 (1923) pp. 406-407.

[8]

J. H. Roberts, Concerning homeomorphisms of the plane into itself, Bull. Amer. Math. Soc. Abstract 44-9-402.